I haven't tried it, just read this page and thought about it, but wouldn't it be possible to do a pixle count of an image of a car's silhouette, like say by putting a stretched white sheet in front of the car between it and the camera. If you do it at night and use bright enough flood lights far enough behind the car to get an outline underneath and all the way around, and you keep the camera and the lights both at the centerlines of the car's height and width, it should be the same as the cutout, zero distortion, right?
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